(3x²y)²·(-15xy³)÷(-9x4次方y²)

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(3x²y)²·(-15xy³)÷(-9x4次方y²)
因式分解:x³-5x²y-24xy²

解题思路:提取公因式进行分解解题过程:附件最终答案:略

已知x-2 根号xy - 15y = 0 ,求 2x+ 根号xy +3y╱x+根号xy - y

因为x-2根号xy-15y=0,左右同除以根号xy,所以得到根号(x/y)-2-15根号(y/x)=0如果你看的不习惯,可以设根号(y/x)=t,则根号(x/y)=1/t,(t>0)因此,(1/t)-

计算:(2分之1x^(2)y-2xy+y^(2))·3xy

2分之3X^(3)Y-6X^(2)Y^(2)+9XY^(3)

(x+y)(x-y)-(2xy+3y)平方

原式=x²-y²-(4x²y²+12xy²+9y²)=x²-y²-4x²y²-12xy²-

xy(xy+1)+(xy+3)-2(x+y+2分之一)-(x+y-1)的平方

xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2=xy(xy+1)+(xy+1)+2-2(x+y)-1-[(x+y)^2-2(x+y)+1]=(xy+1)^2+2-2(x+y)

x^2-xy-6y^2+3xy+y+2

3xy是3x原式=(x-3y)(x+2y)+3x+y+2十字相乘x-3y2×x+2y1所以原式=(x-3y+2)(x+2y+1)

x²-6xy+9y²???因式分解

解题思路:本题主要利用完全平方公式进行因式分解即可求出结果解题过程:解:x²-6xy+9y²=(x-3y)2

先化简,再求值:3xy²(-x²y+2x³y²)-4xy(-xy²)·

原式=-3x³y³+6x^4y^4+4x²y³*2x²y=-3x³y³+6x^4y^4+8x^4y^4=-3x³y&su

计算3xy[2xy-x(y-2)+x-1]

3xy[2xy-x(y-2)+x-1]=3xy(2xy-xy+2x+x-1)=3xy(xy+3x-1)=3x^2y^2+9x^2y-3xy

计算:3xy[2xy-x(y-2)+x]

3xy[2xy-x(y-2)+x]=3xy[2xy-xy+2x+x]=3xy(xy+3x)=3x²y²+9x²y

(-3x^y+2xy)-( )=4x^+xy

(-3x^y+2xy)-(4x^+xy)=-3x^y+2xy-4x^-xy=-3x^y+xy-4x^所以填上-3x^y+xy-4x^

已知xy≠0,且x²-3xy-4y²=0,则x比y的值为多少?

解题思路:将原方程右边分解因式为(x-4y)(x+y)=0,可得x=4y或x=-y,进而可求出x与y的比值。解题过程:解:∵x2-3xy-4y2=0∴(x-4y)(x+y)=0∴x=4y或x=-y∵x

x^3y(-4y)^2+(-7xy)^2*(-xy)-5xy^3*(-3x)^2

x^3y(-4y)^2+(-7xy)^2*(-xy)-5xy^3*(-3x)^2=16x^3y^3-49x^3y^3-45^3y^3=-78x^3y^3如果本题有什么不明白可以追问,

(-3分之1xy)的平方×[xy(2x-y)-2x(xy-y的平方)]

原式(-xy/3)²*[xy(2x-y)-2x(xy-y²)]=(x²y²/9)(2x²y-xy²-2x²y+2xy²)

已知x-y=4xy,则2x+3xy-2yx-2xy-y

∵x-y=4xy,∴2x+3xy-2yx-2xy-y=2(x-y)+3xyx-y-2xy=8xy+3xy4xy-2xy=112.故答案为:112.

若x-y=5,-xy=3,求(7x+4y+xy)-6(5/6·y+x-xy)的值

(7x+4y+xy)-6(5/6y+x-xy)=7x+4y+xy-5y-6x+6xy=x-y+7xy=5+7×(-3)=-16

(3xy)² · (x²+xy-y²)-3xy(3x³y+3x²y&#

(3xy)²·(x²+xy-y²)-3xy(3x³y+3x²y²-xy³)=3xy(3x^3y+3x^2y^2-3xy^3-3x&

xy=(x-10)(y+1) xy=(x-15)(y+3) 解方程组.

因为:xy=(x-10)(y+1)→xy=xy+x-10y-10①xy=(x-15)(y+3)→xy=+3x-15y-45②由①、②得:x=10y+10③x=5y+15④将③‐­④得:10y+

(x-2xy)*(-xy+2y*y)-(3x*x-2xy)(x-9xy+6y*y)

原式=-x²y+2xy²+2x²y²-4xy³-3x³+27x³y-18x²y²+2x²y-18x&

计算[xy(x²-3y)+3xy²]·(-2xy)+x³y²(2x-y)

原式=(x³y-3xy²+3xy²)·(-2xy)+2x⁴y²-x³y³=x³y·(-2xy)+2x⁴y&